Photothermal interactions in a semiconducting fiber‐reinforced elastic medium with temperature‐dependent properties under dual‐phase‐lag model

IF 2.3 4区 工程技术 Q1 MATHEMATICS, APPLIED Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik Pub Date : 2023-08-22 DOI:10.1002/zamm.202300316
Shilpa Chaudhary, K. K. Kalkal, Sandeep Singh Sheoran
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Abstract

This article highlights the study of photothermoelastic interactions in a semiconducting fiber‐reinforced anisotropic medium with temperature‐dependent properties. The model is studied in the context of the photothermal transport process with dual‐phase‐lag theory of generalized thermoelasticity. The governing equations describe the interactions between elastic and plasma thermal waves. The normal mode analysis is employed to procure the exact expressions of the physical fields under investigation. A mechanical load is applied at the outer free surface of the medium to obtain the complete solution of the displacements, stresses, temperature, and carrier density distributions. Numerical results are obtained and displayed graphically with the help of MATLAB software. Some special cases of interest have been deduced from the present study and comparisons are also made among the different theories of thermoelasticity.
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双相位滞后模型下半导体纤维增强弹性介质中温度相关特性的光热相互作用
本文重点研究了具有温度依赖性的半导体纤维增强各向异性介质中的光热弹性相互作用。利用广义热弹性的双相滞后理论,在光热输运过程中对该模型进行了研究。控制方程描述了弹性热波和等离子体热波之间的相互作用。采用正态分析得到了所研究的物理场的精确表达式。在介质的外自由表面施加机械载荷,以获得位移、应力、温度和载流子密度分布的完整解。利用MATLAB软件进行了数值计算,并以图形化的方式显示了结果。从本文的研究中推导出一些值得注意的特殊情况,并对不同的热弹性理论进行了比较。
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来源期刊
CiteScore
3.30
自引率
8.70%
发文量
199
审稿时长
3.0 months
期刊介绍: ZAMM is one of the oldest journals in the field of applied mathematics and mechanics and is read by scientists all over the world. The aim and scope of ZAMM is the publication of new results and review articles and information on applied mathematics (mainly numerical mathematics and various applications of analysis, in particular numerical aspects of differential and integral equations), on the entire field of theoretical and applied mechanics (solid mechanics, fluid mechanics, thermodynamics). ZAMM is also open to essential contributions on mathematics in industrial applications.
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